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Finding the Fourth Proportional to 630.15, 942.75 and 414.15

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Solution

The fourth proportional to 630.15, 942.75 and 414.15 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.15 : 942.75 = 414.15 : x
  2. Step 2: Convert to fraction form
    630.15/942.75 = 414.15/x
  3. Step 3: Cross multiply
    630.15x = 942.75 × 414.15
  4. Step 4: Simplify right side
    630.15x = 390,439.91
  5. Step 5: Solve for x
    x = 390,439.91/630.15
  6. Step 6: Final answer
    x = 619.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.